Patrick Ferrari -- Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density

schedule le mardi 20 mars 2018 de 16h30 à 17h30

Organisé par : LPSM

Intervenant : Patrick Ferrari (Uni. Bonn)
Lieu : Salle Paul Lévy (113) 1er étage Tours 16-26, Jussieu.

Sujet : Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density

Résumé :

We consider TASEP in continuous time with non-random initial conditions and arbitrary fixed density of particles rho. We show GOE Tracy-Widom universality of the one-point fluctuations of the associated height function. The result phrased in last passage percolation language is the universality for the point-to-line problem where the line has an arbitrary slope. (Joint work with Alessandra Occelli)